{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.covariance import EllipticEnvelope\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (8,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_dimensions = 2\n",
    "num_samples = 1000\n",
    "outlier_ratio = 0.01\n",
    "num_inliers = int(num_samples * (1-outlier_ratio))\n",
    "num_outliers = num_samples - num_inliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_0 = np.random.randn(num_inliers//3, num_dimensions) - 3\n",
    "x_1 = np.random.randn(num_inliers//3, num_dimensions)\n",
    "x_2 = np.random.randn(num_inliers//3, num_dimensions) + 4\n",
    "\n",
    "# Add outliers sampled from a random uniform distribution\n",
    "x = np.r_[x_0, x_1, x_2, np.random.uniform(low=-10, high=10, size=(num_outliers, num_dimensions))]\n",
    "\n",
    "# Generate labels, 1 for inliers and -1 for outliers\n",
    "labels = np.ones(num_samples, dtype=int)\n",
    "labels[-num_outliers:] = -1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Applying sklearn.ensemble.IsolationForest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of errors: 10\n"
     ]
    },
    {
     "data": {
      "image/png": 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l/UGj0cg5Jb01FokWoVAIr9cbYZylsYRCIUKhEDqdjvj4eAKBAH6/X/bgtI+j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\na/H5fJw+fZobbrghbuiU+N4ahaLFxTDqebB7924OHz7M7t2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4cYK+vr44z7yckSSJcDiM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\nXUREpBCn7cbt3iPK+fMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1165992e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import IsolationForest\n",
    "\n",
    "rng = np.random.RandomState(99)\n",
    "\n",
    "classifier = IsolationForest(max_samples=num_samples, contamination=outlier_ratio, random_state=rng)\n",
    "classifier.fit(x)\n",
    "y_pred = classifier.predict(x)\n",
    "num_errors = sum(y_pred != labels)\n",
    "print('Number of errors: {}'.format(num_errors))\n",
    "\n",
    "scores_pred = classifier.decision_function(x)\n",
    "threshold = stats.scoreatpercentile(scores_pred, 100 * outlier_ratio)\n",
    "xx, yy = np.meshgrid(np.linspace(-11,11,1000), np.linspace(-11,11,1000))\n",
    "Z = classifier.decision_function(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "inlier_plot = plt.plot(x[:num_inliers,0], x[:num_inliers,1], 'go', label='inliers')\n",
    "outlier_plot = plt.plot(x[-num_outliers:,0], x[-num_outliers:,1], 'ko', label='outliers')\n",
    "\n",
    "plt.contour(xx, yy, Z, levels=[threshold],linewidths=5, colors='gray')\n",
    "plt.contour(xx, yy, Z, levels=np.linspace(Z.min(), threshold, 7), cmap=plt.cm.Greys_r)\n",
    "plt.contourf(xx, yy, Z, levels=[threshold, Z.max()], colors='gray')\n",
    "\n",
    "plt.xlim(-11,11)\n",
    "plt.ylim(-11,11)\n",
    "plt.legend(numpoints=1)\n",
    "plt.show()"
   ]
  }
 ],
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